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If the points (x, y), (1, 2) and (7, 0) are collinear, then the relation between ‘x’ and ‘y’ is given by
- a)3x + y + 7 = 0
- b)3x – y – 7 = 0
- c)x – 3y + 7 = 0
- d)x + 3y – 7 = 0
Correct answer is option 'D'. Can you explain this answer?
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If the points (x, y), (1, 2) and (7, 0) are collinear, then the relati...
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If the points (x, y), (1, 2) and (7, 0) are collinear, then the relati...
To determine the relation between x and y, we can use the concept of slope. If three points are collinear, then the slope between any two points should be the same.
Let's find the slope between the points (1, 2) and (7, 0):
slope = (y2 - y1) / (x2 - x1)
= (0 - 2) / (7 - 1)
= -2 / 6
= -1/3
Now, let's use this slope to determine the relation between x and y.
Explanation:
- The equation of a line in slope-intercept form is y = mx + c, where m is the slope and c is the y-intercept.
- We can rewrite this equation as y - mx - c = 0.
- Since the points (x, y), (1, 2), and (7, 0) are collinear, the equation of the line passing through these points can be written as:
(y - 2) / (x - 1) = -1/3
Now, let's simplify this equation:
Cross-multiplying, we get:
3(y - 2) = -(x - 1)
3y - 6 = -x + 1
3y + x = 7
Rearranging the terms, we get:
x + 3y = 7
Comparing this equation with the given options, we can see that the correct answer is option 'D': x + 3y - 7 = 0.
Therefore, the relation between x and y is given by:
x + 3y - 7 = 0
Let's find the slope between the points (1, 2) and (7, 0):
slope = (y2 - y1) / (x2 - x1)
= (0 - 2) / (7 - 1)
= -2 / 6
= -1/3
Now, let's use this slope to determine the relation between x and y.
Explanation:
- The equation of a line in slope-intercept form is y = mx + c, where m is the slope and c is the y-intercept.
- We can rewrite this equation as y - mx - c = 0.
- Since the points (x, y), (1, 2), and (7, 0) are collinear, the equation of the line passing through these points can be written as:
(y - 2) / (x - 1) = -1/3
Now, let's simplify this equation:
Cross-multiplying, we get:
3(y - 2) = -(x - 1)
3y - 6 = -x + 1
3y + x = 7
Rearranging the terms, we get:
x + 3y = 7
Comparing this equation with the given options, we can see that the correct answer is option 'D': x + 3y - 7 = 0.
Therefore, the relation between x and y is given by:
x + 3y - 7 = 0
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If the points (x, y), (1, 2) and (7, 0) are collinear, then the relation between ‘x’ and ‘y’ is given bya)3x + y + 7 = 0b)3x – y – 7 = 0c)x – 3y + 7 = 0d)x + 3y – 7 = 0Correct answer is option 'D'. Can you explain this answer?
Question Description
If the points (x, y), (1, 2) and (7, 0) are collinear, then the relation between ‘x’ and ‘y’ is given bya)3x + y + 7 = 0b)3x – y – 7 = 0c)x – 3y + 7 = 0d)x + 3y – 7 = 0Correct answer is option 'D'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about If the points (x, y), (1, 2) and (7, 0) are collinear, then the relation between ‘x’ and ‘y’ is given bya)3x + y + 7 = 0b)3x – y – 7 = 0c)x – 3y + 7 = 0d)x + 3y – 7 = 0Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the points (x, y), (1, 2) and (7, 0) are collinear, then the relation between ‘x’ and ‘y’ is given bya)3x + y + 7 = 0b)3x – y – 7 = 0c)x – 3y + 7 = 0d)x + 3y – 7 = 0Correct answer is option 'D'. Can you explain this answer?.
If the points (x, y), (1, 2) and (7, 0) are collinear, then the relation between ‘x’ and ‘y’ is given bya)3x + y + 7 = 0b)3x – y – 7 = 0c)x – 3y + 7 = 0d)x + 3y – 7 = 0Correct answer is option 'D'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about If the points (x, y), (1, 2) and (7, 0) are collinear, then the relation between ‘x’ and ‘y’ is given bya)3x + y + 7 = 0b)3x – y – 7 = 0c)x – 3y + 7 = 0d)x + 3y – 7 = 0Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the points (x, y), (1, 2) and (7, 0) are collinear, then the relation between ‘x’ and ‘y’ is given bya)3x + y + 7 = 0b)3x – y – 7 = 0c)x – 3y + 7 = 0d)x + 3y – 7 = 0Correct answer is option 'D'. Can you explain this answer?.
Solutions for If the points (x, y), (1, 2) and (7, 0) are collinear, then the relation between ‘x’ and ‘y’ is given bya)3x + y + 7 = 0b)3x – y – 7 = 0c)x – 3y + 7 = 0d)x + 3y – 7 = 0Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
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